Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	刘歆,中国科学院数学与系统科学研究院
Inviter:	中科院数学院学术报告会组委
Title:	Optimization models and approaches for strictly correlated electrons
Language:	Chinese
Time & Venue:	2022.12.23 10:40-11:20 腾讯会议：671-4985-6447
Abstract:	In electronic structure calculations, Kohn-Sham equations rank among the most widely adopted mathematical models. However, due to the deficiency of available approximations for exchange-correlation energy, Kohn-Sham equations cannot well describe strictly correlated electrons at present. To this end, some models based on the strong-interaction limit of density functional theory have been developed in recent decades. The associated energy minimizations can be formulated as multi-marginal optimal transport problems with Coulomb cost (MMOT). Since the curse of dimensionality resides in MMOT, its low-dimensional reformulations are indispensable. In this talk, we consider the reformulation based on a Monge-like ansatz. We discuss the difficulties in the corresponding optimization problems, and also propose a global optimization approach for numerical resolution.